List questions from vector-fields

Published on 25 Mar 2026 - 10:42

542

Views

Can I apply the gradient theorem for a field with not simply connected domain?

Published on 25 Mar 2026 - 10:55

40

Views

Partial derivative of a vector field at a given point

Published on 13 Aug 2019 - 4:14

197

Views

Gradient of Dot Product $\nabla (\lambda \cdot w)$

Published on 13 Aug 2019 - 13:28

56

Views

Conservative fields - Definition confusion

Published on 25 Mar 2026 - 12:13

35

Views

Given a vector field, $\vec{F}$, and let $D$ be the domain of $\vec{F}$, how can we tell if $D$ is connected and/or simply connected?

Published on 26 Mar 2026 - 16:10

246

Views

Direction of least change of a scalar/vector function

Published on 25 Mar 2026 - 3:02

281

Views

Deriving the vector field from a curl

Published on 26 Mar 2026 - 3:10

109

Views

How do you know if the tangent unit vector parallel

Published on 26 Mar 2026 - 19:26

86

Views

Status of the solution of Hilbert's 16 problem (2nd part)

Published on 28 Aug 2019 - 9:25

75

Views

Field line dynamics of gradient fields on $S^2$

Published on 25 Mar 2026 - 22:10

72

Views

Is there any relation between a Conservative vector field and a conservative dynamic system?

Published on 03 Sep 2019 - 1:16

169

Views

Outward flux of a vector field through the intersection of two cylinders.

Published on 26 Mar 2026 - 7:39

53

Views

A derivation $X$ is left-invariant iff $(id\otimes X)\circ m_G^* = m_G^* \circ X,$

Published on 05 Sep 2019 - 18:50

1.5k

Views

Prove that a flow is volume-preserving if and only if the trace of corresponding ODE matrix is $0$

Published on 26 Mar 2026 - 16:56

List Question

Submanifold Tangent to Given Vector Fields

Can I apply the gradient theorem for a field with not simply connected domain?

Partial derivative of a vector field at a given point

Gradient of Dot Product $\nabla (\lambda \cdot w)$

Conservative fields - Definition confusion

Given a vector field, $\vec{F}$, and let $D$ be the domain of $\vec{F}$, how can we tell if $D$ is connected and/or simply connected?

Direction of least change of a scalar/vector function

Deriving the vector field from a curl

How do you know if the tangent unit vector parallel

Status of the solution of Hilbert's 16 problem (2nd part)

Field line dynamics of gradient fields on $S^2$

Is there any relation between a Conservative vector field and a conservative dynamic system?

Outward flux of a vector field through the intersection of two cylinders.

A derivation $X$ is left-invariant iff $(id\otimes X)\circ m_G^* = m_G^* \circ X,$

Prove that a flow is volume-preserving if and only if the trace of corresponding ODE matrix is $0$

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